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Finding the Fourth Proportional to 5,122.60, 7,679.03 and 1,834.00

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Solution

The fourth proportional to 5,122.60, 7,679.03 and 1,834.00 is: 2,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.60 : 7,679.03 = 1,834.00 : x
  2. Step 2: Convert to fraction form
    5,122.60/7,679.03 = 1,834.00/x
  3. Step 3: Cross multiply
    5,122.60x = 7,679.03 × 1,834.00
  4. Step 4: Simplify right side
    5,122.60x = 14,083,302.62
  5. Step 5: Solve for x
    x = 14,083,302.62/5,122.60
  6. Step 6: Final answer
    x = 2,749.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.